Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy

Nicholas Ivan Bayda; Grant Sutliff

doi:10.29333/iejme/7601

Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy

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Nicholas Ivan Bayda ¹ ^* , Grant Sutliff ¹ ^*

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¹ John Carroll University, USA^* Corresponding Author

Abstract

Previous research has established the importance of definitions in mathematics and have distinguished the difference between extracted and stipulated definitions. Much remains unknown, however, about the role definitions serve in developing students’ disciplinary literacy. In this study, we analyze how definitions from four US Algebra 1 textbooks and Khan Academy define vocabulary in the context of quadratics. Results show that Khan Academy tends to use extracted definitions, where textbooks tend to use stipulated definitions. Implications from this study are that there is a need to teach students both stipulated and extracted definitions.

Keywords

mathematical definitions
stipulated
extracted
disciplinary literacy
Khan Academy

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 15, Issue 2, May 2020, Article No: em0579

https://doi.org/10.29333/iejme/7601

Publication date: 26 Jan 2020

Article Views: 2627

Article Downloads: 1796

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How to cite this article

APA

Bayda, N. I., & Sutliff, G. (2020). Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy. International Electronic Journal of Mathematics Education, 15(2), em0579. https://doi.org/10.29333/iejme/7601

Vancouver

Bayda NI, Sutliff G. Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy. INT ELECT J MATH ED. 2020;15(2):em0579. https://doi.org/10.29333/iejme/7601

AMA

Bayda NI, Sutliff G. Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy. INT ELECT J MATH ED. 2020;15(2), em0579. https://doi.org/10.29333/iejme/7601

Chicago

Bayda, Nicholas Ivan, and Grant Sutliff. "Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy". International Electronic Journal of Mathematics Education 2020 15 no. 2 (2020): em0579. https://doi.org/10.29333/iejme/7601

Harvard

Bayda, N. I., and Sutliff, G. (2020). Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy. International Electronic Journal of Mathematics Education, 15(2), em0579. https://doi.org/10.29333/iejme/7601

MLA

Bayda, Nicholas Ivan et al. "Comparing Extracted and Stipulated Definitions in Algebra 1 Textbooks and Khan Academy". International Electronic Journal of Mathematics Education, vol. 15, no. 2, 2020, em0579. https://doi.org/10.29333/iejme/7601